Fractional \({\theta}\) angle, 't Hooft anomaly, and quantum instantons in charge-\(q\) multi-flavor Schwinger model

DOI10.1007/JHEP07(2019)018zbMath1418.83063arXiv1905.05781OpenAlexW3098600487MaRDI QIDQ2317717

Yuya Tanizaki, Mithat Ünsal, Tatsuhiro Misumi

Publication date: 12 August 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.05781

zbMATH Keywords

spontaneous symmetry breakingfield theories in lower dimensionsanomalies in field and string theories

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Anomalies in quantum field theory (81T50) Symmetry breaking in quantum theory (81R40)

Related Items (19)

The mixed 0-form/1-form anomaly in Hilbert space: pouring the new wine into old bottles ⋮ Topological aspects of 4D abelian lattice gauge theories with the \(\theta\) parameter ⋮ Infrared phases of \(2d\) QCD ⋮ 1-form symmetry versus large \(N\) QCD ⋮ Winding \(\theta\) and destructive interference of instantons ⋮ Modified instanton sum in QCD and higher-groups ⋮ Lattice quantum villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities ⋮ Monte Carlo study of Schwinger model without the sign problem ⋮ DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly ⋮ Calculating composite-particle Spectra in Hamiltonian formalism and demonstration in 2-flavor \(\mathrm{QED}_{1+1\mathrm{d}}\) ⋮ Four-fermion deformations of the massless Schwinger model and confinement ⋮ Higher-group structure in \(2n\)-dimensional axion-electrodynamics ⋮ BCF anomaly and higher-group structure in the low energy effective theories of mesons ⋮ Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Semi-abelian gauge theories, non-invertible symmetries, and string tensions beyond \(N\)-ality ⋮ Self-conjugate QCD ⋮ Strongly coupled QFT dynamics via TQFT coupling ⋮ Exploring the \(\theta\)-vacuum structure in the functional renormalization group approach

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